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Finding the Fourth Proportional to 415,165.52, 572,852.22 and 233,838.68

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Solution

The fourth proportional to 415,165.52, 572,852.22 and 233,838.68 is: 322,654.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,165.52 : 572,852.22 = 233,838.68 : x
  2. Step 2: Convert to fraction form
    415,165.52/572,852.22 = 233,838.68/x
  3. Step 3: Cross multiply
    415,165.52x = 572,852.22 × 233,838.68
  4. Step 4: Simplify right side
    415,165.52x = 133,955,006,959.87
  5. Step 5: Solve for x
    x = 133,955,006,959.87/415,165.52
  6. Step 6: Final answer
    x = 322,654.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.